This classic graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semisimple Lie algebras. Lie theory, in its own right, has become regarded as a classical branch of mathematics. Written in an informal style, this is a contemporary introduction to the subject which emphasizes the main concepts of the proofs and outlines the necessary technical details, allowing the material to be conveyed concisely. Based on a lecture course given by the author at the State University of New York at Stony Brook, the book includes numerous exercises and worked examples and is ideal for graduate courses on Lie groups and Lie algebras.
Author: Alexander Kirillov Jr Publisher: Cambridge University Press Published: 07/01/2008 Pages: 236 Binding Type: Hardcover Weight: 1.00lbs Size: 9.00h x 6.00w x 0.70d ISBN: 9780521889698
About the Author Kirillov, Alexander: - Alexander Kirillov, Jr, is an Associate Professor in the Mathematics Department of the State University of New York at Stony Brook. His research interests are representation theory, Lie algebras, quantum groups, affine Lie algebras and conformal field theory.Kirillov Jr, Alexander: - Alexander Kirillov, Jr, is an Associate Professor in the Mathematics Department, State University of New York, Stony Brook. His research interests are representation theory, Lie algebras, quantum groups, affine Lie algebras and conformal field theory.